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Simplifying 2 + x + -5 + -2x + -7 = 3x + 7 Reorder the terms: 2 + -5 + -7 + x + -2x = 3x + 7 Combine like terms: 2 + -5 = -3 -3 + -7 + x + -2x = 3x + 7 Combine like terms: -3 + -7 = -10 -10 + x + -2x = 3x + 7 Combine like terms: x + -2x = -1x -10 + -1x = 3x + 7 Reorder the terms: -10 + -1x = 7 + 3x Solving -10 + -1x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + -1x + -3x = 7 + 3x + -3x Combine like terms: -1x + -3x = -4x -10 + -4x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -4x = 7 + 0 -10 + -4x = 7 Add '10' to each side of the equation. -10 + 10 + -4x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 7 + 10 -4x = 7 + 10 Combine like terms: 7 + 10 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25
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